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Ernest, P. (1998) "Social constructivism as a philosophy of mathematics", SUNY, New York

**Chapter 1: A critique of absolutism in the philosophy of mathematics**

**Chapter 2: Reconceptualizing the philosophy of mathematics**

**Chapter 3: Wittgenstein's philosophy of mathematics**

Wittgenstein's philosophical thought and background

- Introduction and biographical sketch
- Wittgenstein's philosophy: preliminary considerations
- The social basis of Wittgenstein's philosophy
- Meaning as use
- 'Language games'
- 'Forms of life'
- Philosophy of language
- Neccesity and following a rule
- Private languages

- Wittgenstein's approach to philosophy and his impact

- Wittgenstein's philosophy of mathematics: an interpretation
- Wittgenstein on the foundations of mathematics
- Wittgenstein on Platonism and ontology
- Wittgenstein's philosophy of mathematics
- Mathematics is a game
- Wittgenstein's social philosophy of mathematics
- More on truth and certainty
- The role of contradiction
- Following a rule
- Mathematic proof
- 'Strict finitism' and the role of the philosophy of mathematics

- Critical appraisal of Wittgenstein's philosophy of mathematics
- The denial of philosophy
- 'Full blooded conventionalism' and logical necessity
- Failure to distinguish degrees of certainty
- Lack of historicism
- Lack of theory of genesis of mathematical knowledge

- Applying the adequacy criteria
- Mathematical knowledge
- Mathematical theories
- The objects of mathematics
- The applications of mathematics
- Mathematical practice, learning, and creativity

- Wittgenstein's achievement

**Chapter 4: Lakatos's philosophy of mathematics**

**Chapter 5: The social construction of objective knowledge**

**Chapter 6: Conversation and rhetoric**

**Chapter 7: The social construction of subjective knowledge**

**Chapter 8: Social constructivism: evaluation and values**

Links...

- Ludwig Wittgenstein (1889-1951)
- Absolutism & Relativism
- Observations on the Sapir-Whorf hypothesis
- Two proofs of 1+1=2

Links to other sites...

Created 16/8/99

Last modified 10/5/01